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12144252520 = 2355343113291
BaseRepresentation
bin10110100111101101…
…01001011001101000
31011100100112221121101
423103312221121220
5144332412040040
65325021251144
7606642305011
oct132366513150
934310487541
1012144252520
115172128734
12242b103ab4
1311b700064a
14832c4c008
154b126709a
hex2d3da9668

12144252520 has 64 divisors (see below), whose sum is σ = 27906819840. Its totient is φ = 4754630400.

The previous prime is 12144252503. The next prime is 12144252529. The reversal of 12144252520 is 2525244121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12144252529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907075 + ... + 920365.

It is an arithmetic number, because the mean of its divisors is an integer number (436044060).

Almost surely, 212144252520 is an apocalyptic number.

12144252520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953409920).

12144252520 is an abundant number, since it is smaller than the sum of its proper divisors (15762567320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12144252520 is a wasteful number, since it uses less digits than its factorization.

12144252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 12144252520 its reverse (2525244121), we get a palindrome (14669496641).

The spelling of 12144252520 in words is "twelve billion, one hundred forty-four million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 431 530 862 1060 1724 2120 2155 3448 4310 8620 13291 17240 22843 26582 45686 53164 66455 91372 106328 114215 132910 182744 228430 265820 456860 531640 704423 913720 1408846 2817692 3522115 5635384 5728421 7044230 11456842 14088460 22913684 28176920 28642105 45827368 57284210 114568420 229136840 303606313 607212626 1214425252 1518031565 2428850504 3036063130 6072126260 12144252520